3. Calculate the mass in the following scenarios (g-9.81 N/kg):
a) 1000 J and 10 m
b) 1250 J and 1 m
d) 1550 J and 0.02 m
e) 8900 J and 215 m
g) 98 J and 59 kg
h) 750 J and 0.75 m
c) 1.25 kJ and 90 m
f) 90 J and 1250 m
i) 5 kJ and 980 m

Answers

Answer 1

Hello there!

Formula: A = F * S = mg * S

So m = A/gS

a) m = 1000 J/(9.81 N/kg * 10 m) ≈ 10.194 kg

b) m = 1250 J/(9.81 N/kg * 1 m) ≈ 127.41 kg

d) m = 1000 J/(9.81 N/kg * 10 m) ≈ 7900.1 kg

e) m = 8900 J/(9.81 N/kg * 215 m) ≈ 4.22 kg

g) m = 98 J/(9.81 N/kg * 59m) ≈ 0.17 kg

h) m = 750 J/(9.81 N/kg * 0.75 m) ≈ 101.94 kg

c) m = 1.25 kJ/(9.81 N/kg * 90 m) = 1250 J/(9.81 N/kg * 90 m) ≈ 1.42 kg

f) m = 90 J/(9.81 N/kg * 1250 m) ≈ 0.007339 kg = 7.339 g

i) m = 5 kJ/(9.81 N/kg * 980 m) = 5000 J/(9.81 N/kg * 980 m) ≈ 0.52 kg


Related Questions

Ammeters that respond to the average value convert the alternating current into direct current. This value must be increased by a factor of _____ to change the average reading into the rms value for a sine wave current.

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The average reading must be multiplied by a multiplier of 1.111 to become the rms value for just a sine wave flow.

Describe the wave current?

Wave-current interaction in fluid dynamics is the interaction of a mean flow with surface gravity waves.After the interaction begins, both the waves as well as the average flow are impacted since the contact implies an energy exchange.

What are the tide and the wave?

While the tide is a type of vertical motion of the ocean's water, waves and ocean circulation represent horizontal movements of the water.

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A 17-N falling object encounters 9 N of air resistance. The magnitude of the net force on the object is

Answers

The magnitude of the net force on the object is 8 N. This is because the force of gravity, which is 17 N, is being opposed by the force of air resistance, which is 9 N. Therefore, the net force is 17 N - 9 N = 8 N.

Force is a push or pull on an object that is caused by an interaction between two objects. It has both magnitude, which is the strength of the interaction, and direction, which is the direction in which the force is being applied.

Net force is the sum of all the forces acting on an object. It is calculated by adding up all the forces that are acting on the object, taking into account their directions. This can be used to calculate the acceleration of an object, as the greater the net force, the greater the acceleration.

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9 An object of mass 1.2kg is moving with a velocity of 2.0m/s when it is acted on by a force of
4.0 N. The velocity of the object increases to 5.0 m/s.
For what period of time does the force act on the object?

Answers

Answer:

0.90 seconds

Explanation:

Given Info:

Object of mass ⇒ 1.2 kg

Velocity of 2.0m/s when it is acted on by a force of 4.0 N

Velocity of the object Increased to 5.0 m/s

Question:

For what period of time does the force act on the object?

Solve:

We first need to know the formula:

F = ma  Or F = m(v-u)/t

F = force

m = mass of an object

a = acceleration

v = Final Velocity

u = Initial Velocity

a = Acceleration

t = Time Taken

Knowing that;

Force = 4.0 N

Mass of an object = 1.2 kg

Final velocity = 5.0m/s

Initial velocity = 2.0m/s

Time taken = [t]

Now lets plug it in the formula:

F = m(v-u)/t

4.0 = 1.2(5-2)/t

t = 0.90 seconds.

Hence, period of time at which force is acted on the object is 0.90 sec.

RevyBreeze

8) An object is attached to a hanging unstretched ideal and massless spring and slowly lowered to its equilibrium position, a distance of 6.4 cm below the starting point. The mass is then pulled so the spring is stretched to a length of 9.6 cm. How fast will the mass be moving when it reaches the equilibrium position?

Answers

Work is accomplished by stretching or compressing a spring. Elastic potential energy is stored in the spring. It is recommended to expand the spring up to 12.8 cm.

What happens to the elastic potential energy that is stored in a spring when work is done to extend it?

Elastic potential energy is stored in the spring as a result of the work required to stretch or compress it. A spring's elastic potential energy is equal to one-half the sum of its spring constant times its deformation squared.

When a spring is stretched or compressed from its initial resting position, where is the elastic potential energy stored?

We'll talk about elastic potential energy as the second type of potential energy. The energy that is trapped in elastic materials as a result of their stretching or compression is known as elastic potential energy.

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A student is connecting three resistors of various resistances together in a circuit. In one configuration, the resistors are connected in a series. In another configuration, the resistors are connected in parallel. Explain which configuration results in a higher total resistance.

Answers

Most circuits contain more than one resistor, which restricts the passage of charge inside the circuit. Resistance is a unit of measurement for this charge flow restriction.

What is Resistance?

When a current, or flow of charge, must pass through a sequence of devices, resistors are used. For instance, if a person holding a screwdriver allows current to flow through them and into the Earth, then

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This fact would be helpful to someone trying to prevent an electrical shock since they could wear high-resistance rubber-soled shoes to lower the current.

Therefore, Most circuits contain more than one resistor, which restricts the passage of charge inside the circuit. Resistance is a unit of measurement for this charge flow restriction.

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Is it
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Answer: Counter Claim

Explanation: The underlined sentence is giving an opposing argument of the first sentence.

How can you tell which elements will form ions?

Answers

Answer: The position of an element on the periodic table, see resources, tells you the type of ions it will form, with the elements on the right forming anions (negative charge) and those further to the left forming cations (positive charge).

Hope this helps any

1) Renatta Gass is out with her friends misfortune occurs and renatta and her Friends find themselves getting a workout. They apply a cumulative force Of 1580N to push the car 288m to the nearest fuel station. Determine the work done on the car.

Answers

Work is characterized as a force that causes an object to move or be displaced.  The work done would be 455040.

What is Work?

Work is the scalar product of the force acting on an object and the displacement that force causes when the force is constant.

Despite the fact that work lacks a direction due to the scalar product (or dot product) aspect of vector mathematics, force and displacement are both vector quantities.

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Therefore, Work is characterized as a force that causes an object to move or be displaced.  The work done would be 455040.

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In a football game, a 140 kg linebacker runs at a speed of 4 m/s while a 70kg safety runs at 8m/s. It is correct to say

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Yes, the given statement is correct in a football game, a 140 kg linebacker runs at a speed of 4 m/s while a 70kg safety runs at 8m/s.

What connection exists between mass and velocity?

Momentum is directly proportional to mass and velocity. The momentum of the object increases proportionally as either mass or velocity are increased. The momentum is doubled for every unit increase in mass or speed.

In first case

Momentum = mass × velocity

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In second case

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If you throw a ball up in the air at a speed of 14.9 m/s, how fast (in m/s) will it be moving when you catch it

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When you catch a ball you threw in the skies at the a speed exceeding 14.9 m/s, it will also travel at the same speed when you catch it.

How fast is it?

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Why is countercurrent flow more efficient?

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The counter-current method is the most efficient because it maintains the same concentration gradient over the whole length of the circuit.

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17. A uniform rod of length 120cm and mass 0.7kg, is suspended horizontally by two vertical strings at points 12cm from each end. If masses of 4.0 and 2.0kg are hung on it at points 20cm respectively from one end and 25cm. from the other, what would the tension in the strings be?
pls answer quickly​

Answers

Answer:

To solve this problem, you can use the principle of transverse static equilibrium. This states that the sum of the forces acting on an object must be equal to zero for the object to be in equilibrium. In this case, the forces acting on the rod are the tension in the strings, the weight of the rod, and the weight of the masses hung on the rod.

First, you can find the weight of the rod by multiplying its mass by the acceleration due to gravity:

Wrod = mrod * g

= 0.7 kg * 9.8 m/s^2

= 6.86 N

Next, you can find the weight of the 4.0-kg mass by multiplying its mass by the acceleration due to gravity:

W1 = m1 * g

= 4.0 kg * 9.8 m/s^2

= 39.2 N

You can find the weight of the 2.0-kg mass in the same way:

W2 = m2 * g

= 2.0 kg * 9.8 m/s^2

= 19.6 N

To find the tension in the strings, you can use the principle of transverse static equilibrium. The forces acting on the rod are the tension in the strings, the weight of the rod, and the weight of the masses hung on the rod. You can represent these forces as vectors acting at the points where the strings are attached to the rod. The vectors representing the tension in the strings will be equal in magnitude but opposite in direction. The vectors representing the weight of the rod and the masses will act vertically downward.

[asy]

unitsize(2cm);

pair P1, P2, P3, P4;

P1 = (0,0);

P2 = (1,0);

P3 = (0.8,0);

P4 = (0.2,0);

draw((-1,0)--(2,0));

draw((0,-1)--(0,1));

draw(P1--P3,red,Arrow(6));

draw(P2--P4,red,Arrow(6));

draw(P3--P4,red,Arrow(6));

draw((P1)--(P1+(0,-0.7)));

draw((P2)--(P2+(0,-4)));

draw((P2)--(P2+(0,-2)));

label("$T_1$", (P1 + P3)/2, red);

label("$T_2$", (P2 + P4)/2, red);

label("$W_{rod}$", (P3 + P4)/2, red);

label("$W_1$", (P2 + P4 + (0,-4))/2, red);

label("$W_2$", (P2 + P4 + (0,-2))/2, red);

label("$12$ cm", (0,0.2), red);

label("$20$ cm", (0.4,-0.4), red);

label("$25$ cm", (0.75,-0.4), red);

[/asy]

The sum of the forces in the x-direction must be equal to zero, so you can set up the following equation:

T1 - T2 = 0

The sum of the forces in the y-direction must also be equal to zero, so you can

Which statement best describes how science is an engineers work together in the research and development cycle

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Answer: Which statement best describes how scientists and engineers work together in the research and development cycle? Scientists develop new technology, and then engineers use it to solve design problems.

Explanation: boom!

What linear speed must an Earth satellite have to be in a circular orbit at an altitude of 204 km above Earth's surface

Answers

According to the question linear speed must an Earth satellite have to be in a circular orbit at an altitude of 204 km above Earth's surface is 30.682× [tex]10^{10}[/tex].

What does orbit mean?

Astronomically speaking, an orbit is the curved path—typically elliptical—that a planet, satellite, comet, etc. takes when it revolves around another celestial body as a result of gravitation.

By Newton's second law

GMm/[tex]r^{2}[/tex] m[tex]v^{2}[/tex] /r.

Since the radius of Earth is 6.37 × [tex]10^{6}[/tex] m,

the orbit radius is r=(6.37×[tex]10^{6}[/tex] m+204×[tex]10^{3}[/tex] m)=1.3×[tex]10^{3}[/tex] m.

The solution for v is

v= [tex]\sqrt{\frac{GM}{r} }[/tex]​ ​ = (6.67×[tex]10^{-11}[/tex]× 5.98×[tex]10^{24}[/tex]/1.3×[tex]10^{3}[/tex])^1/2

⇒ v= 30.682× [tex]10^{10}[/tex]

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Two objects with negative charges of 6.2 nC each are separated by 0.3 m. What is the size and direction of the force between the two charges?

Answers

The force between the charges are [tex]3844*10^{3} N[/tex]

Before we try to calculate Coulomb's law for forces between multiple charges, we need to understand Coulomb's force between two charged particles. Coulomb’s law or Coulomb’s inverse square law was discovered in 1785 by French physicist Charles-Augustin de Coulomb. The experimentally proven law quantifies the force exerted by a static charged particle on another static charged particle.Assume two static charged particles with a charge of ‘q1’ and ‘q2’ respectively. The force exerted by one particle on the other, if they are separated by a distance of ‘r’ between their centers is given by:

                                              [tex]F = kQq/r^{2}[/tex]

Given, Q = q = 6.2 mC = [tex]6.2 * 10^{-3}[/tex]

           r = distance = 0.3m

           k = constant = [tex]9*10^{9}[/tex]

Putting these values in above equation we get F = [tex]3844*10^{3} N[/tex]

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What is the shape of a baseball field called?

Answers

Each base is at the intersection of a square-shaped infield in baseball. 8100 square feet, 900 square yards, or 90 × 90 square feet make up the space.

How would you describe a baseball field?

Nine players occupy the diamond-shaped field that is used for baseball. There are two main areas of the field: the infield and the outfield. Four infielders and two core players cover the infield. Three outfielders cover the outfield.

In a letter dated May 26, James Cannon expressed shock that the "diamond" form is referred to as a rhombus. A baseball diamond, he pointed out, is essentially a square.

The elevated dirt area in the middle of the infield known as the hill—also known as the pitcher's mound—is where the pitcher throws. The pitcher's rubber is located directly behind the middle of the mound and is what they use to prepare and throw the ball.

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A force of 255 N is applied to an object that accelerates at a rate of 7 m/s2. What is the mass of the object?

Answers

The mass of the object is 36.43 kg.

We can use the equation for force (F) to determine the mass (m) of the object:

F = m × a

Where F is the force applied to the object, m is the mass of the object, and a is the acceleration of the object.

So, in this case, we know that:

F = 255 N

a = 7 m/s²

We can use this information to solve for the mass of the object:

m = F ÷ a

m = 255 N ÷ 7 m/s²

m = 36.43 kg

Therefore, the mass of the object is 36.43 kg.

It's important to notice that this equation only holds if the force applied is the net force, so if there are other forces such as friction or air resistance they should be considered in the calculation.

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A 50 kg person and a 70 kg person are sitting on a bench close to each other about .5 m apart.
Estimate the magnitude of the gravitational force each exerts on the other.

Answers

Answer:

1.0 x 10-6 N.

Explanation:

The gravitational force

Fg = G m1 m2 / r2 = (6.673 x 10-11) (50 kg) (75 kg) / (0.50 m)2 = 1.0 x 10-6 N.

The centers of two 15.0 kilogram spheres are separated by 3000 millimeters. The magnitude of the gravitational force between the spheres is approximately:

Answers

The gravitational force here between spheres has an estimated magnitude of 1.67 10-9 N.

What is the gravity force?

Any two bodies' gravitational attraction is exactly equal to the sum of their masses and divided by the square of their distance from one another.

Gravity, often known as the gravity force will bring any two bodies together. Although everything in the cosmos is attracted to one another, this attraction is usually too weak to just be felt since the things are so far apart. Gravity's attraction lessens as things are moved farther apart, but its influence sphere is boundless.

F=GMm/r^2

G=6.67 x 10^-11N kg^2/m^2

M=(15kg)

m=15 kg

r=(3.0m)^2

putting values we have

(6.67 x 10^-11N kg^2/m^2)(15kg)(15kg)/(3.0m)^2

1.67 x 10^-9N

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2 points

A car traveling at 25 m/s forward completes a sharp turn to the left. Fully

explain what an unbuckled passenger in the car experiences as the car

moves through the turn, assuming the passenger completes the turn in

the car. You must also properly explain inertia's role in this scenario *

Answers

An unbuckled passenger in the car experiences movement towards right side due to inertia as the car moves towards left.

According to Newton's first law of motion, every body continues to be in a state of rest or of uniform motion unless an external force acts upon it. This is called inertia. It is the tendency of an object to resist change.

As a result, when the car makes a sudden left turn, the passengers appear to move to the right side of the vehicle because they are still travelling in the same straight line that the car was travelling in before the turn.

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If an airplane were traveling westward with a thrust force of 450 N and there was a headwind (drag) of 200 N, what would the resulting net force be on the airplane

Answers

The net resultant force on the airplane, based on the data provided in the question, is 250 N.

How can the net force that results be calculated?

Calculate the resultant force by deducting the larger force's size from of the smaller force's magnitude. The direction of the smaller force and the resulting force are identical. The resulting force is useful because it allows us to think about the several forces as as if they were one. To measure the effects of different forces on a thing, in other words.

Given data -

Thrust force = 450 N

headwind (drag) = 200 N

Net force = 450 - 200

Net force = 250 N.

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A 2.0-kg block of wood is on a level surface where and A 13.7-N force is being applied to the block parallel to the surface. (a) If the block was originally at rest, then (A) it will remain at rest, and the force of friction will be about 15.7 N. (B) it will remain at rest, and the force of friction will be about 13.7 N. (C) it will remain at rest, and the force of friction will be 11.8 N. (D) it will begin to slide with a net force of about 1.9 N acting on the block.

Answers

When 13.7-N force is being applied to the block parallel to the surface it will remain at rest, and the force of friction will be about 13.7 N. Hence option B is correct.

How do you determine the frictional force?

The resistive force of friction (Fr), which pushes the items together, is divided by the normal or perpendicular force (N), which pushes them apart, to produce the coefficient of friction (fr), which is a numerical value. The following formula represents it: fr = Fr/N.

What does physics mean by a frictional force?

Force which prevents one solid object from rolling or slipping over another. Although frictional forces can be advantageous, such as the traction required to walk without slipping, they also provide a significant amount of resistance to motion.

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The number of pices of sausage needed by a pizza restaurant is given by the equation S= 21 n. In this equation, n is the number of pizzas the resturant will make. How many pieces of sausage are needed to make 55 pizzas? A. 34 B. 1155 C. 76 D. 855

Answers

The piece of sausage need to make 55 pizza is 21 × 55 = 1155.

How long does it take to make a pizza on average?

The typical baking time for a pizza is 8 to 15 minutes, and larger, thicker pizzas bake more slowly than thin-crust, petite pizzas with few toppings. Just a friendly reminder: never lose sight of the pizza.

The two pizza rule is what?

The "2 pizza rule" is a formula for determining how many people to invite to a gathering. Every meeting had to be small enough for two large pizzas to feed everyone, according to the rule.

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3. A student tosses a 0. 500 kilogram rock into

a pond at a rate of 1. 00 meter per second. If

the student's mass is 45. 0 kilograms, what

is the momentum of the rock by the

student?

Answers

The momentum of the rock by the student is 0.500kgm/s.

Momentum -

momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum. Check out Newton's laws of motion.

Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a baseball (small mass) thrown quickly can have the same momentum as a bowling ball (big mass) going extremely slowly (low velocity) (high velocity).

Momentum = Mass × Velocity

Momentum of rock = 0.500 × 1

= 0.500kgm/s

Momentum of Boy = 45 × 0 [As boy is at rest so, he has 0 momentum]

Momentum of boy = 0

Total Momentum = Momentum of rock + Momentum of boy

= 0.500 + 0

= 0.500 kgm/s

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What is the acceleration at t 2?

Answers

The formula x(t) = 4t3 + 6sin(t) provides the location of an item. Discover the object's acceleration at time t=2. The variation in velocity called the acceleration.

If x(t) = 4t3 + 6sin(t), then its derivative, v(t) = 12t2 + 6cos(t), provides the velocity (t). Then, the derivative of velocity, a(t) = 24t 6sin, gives the acceleration (t) Therefore, a(2) = 24 2 6sin(2) = 42 6sin(2) gives the acceleration at time t = 2. The overall change in velocity during the specified interval divided by the total amount of time required for the change is the definition of average acceleration over a particular period of time. It is represented as for a specific amount of time. Where is the average acceleration and v2 and v1 are the instantaneous velocities at time t2 and t1, respectively.

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A wheel rotates at 2 rad/s. What is its period and frequency?

Answers

(1) The frequency of the oscillation is 0.32 Hz.

(2) The period of the oscillation is 3.13 seconds.

What is the period of the wheel's oscillation?

The period of the wheel's oscillation is the time taken for the wheel to make one complete oscillation.

The period of an oscillatory motion is the reciprocal of the frequency of the oscillation.

The frequency of the oscillation is the number of cycles completed by the oscillatory object in a given second.

The frequency of the wheel undergoing oscillatory motion is calculated by using the following formula.

f = ω / 2π

where;

ω is the angular speed of the wheelf is the frequency

f = ( 2 rad/s ) / 2π

f = 0.32 Hz

The period of the oscillation is calculated as follows;

T = 1 / f

T = 1 / 0.32 s

T = 3.13 seconds

Thus, the period of oscillation and frequency of the oscillation are inversely proportional.

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A paper airplane is thrown with an initial velocity of 2.4 m/s and an angle of 60°. Find the voy

Answers

Initial velocity of 2.4 m/s and an angle of 60°.

The x component is 2.4 m/s cos(60°) = 2.4 m/s (0.5) = 1.2 m/s

The y component is 2.4 m/s sin(60°) = 2.4 m/s (0.866) = 2.08 m/s

What is Initial velocity?

Initial velocity is the speed an object has when it starts moving in a certain direction. It is the speed that an object has before any external forces act upon it. Initial velocity is a vector quantity, meaning it has both a magnitude, or size, and a direction. Initial velocity is usually measured in meters per second (m/s). It is important to note that the initial velocity of an object can be different depending on the reference frame from which it is measured.

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The complete question is-

A paper airplane is thrown with an initial vclocity of 2,4 m and angle of 60" Find the Voz: 012m/s 0.62 mn/& 0 1.70 m/8 208 m/$

The Earth has a mass of 6 x 10^24 kg and orbits the Sun in 3.15 x 10^7 seconds at a constant radius of 1.5 x 10^11m. Find the following.
(a) What is the Earth's centripetal acceleration around the Sun?
(b) What is the gravitational force acting between the Sun and Earth?
(c) What is the mass of the Sun?

Answers

The Sun's mass is 1.778 x 10 m/s2. v=2rT, where T is the amount of time it takes for the Earth to turn around the Sun.

What is our sun's mass?

Mass and volume: 1.989 x 1030 kilograms The sun has a mass of 1.989 x 1030 kilograms, which is about 333,000 times the mass of the Earth. Leading astronomers Jack J. and Imke de Pater found that the sun contains 99.8 percent of the mass of the entire solar system.

Earth's mass, Me, is 6 x 10 kg.

Earth's R Radius and Time of Rotation are 1.5x10m. 3.15 x 107 Sec.

Ac = earth's centripetal acceleration We know that W =  345X107 1.99 X 10 Rad/s Gravitational Force F 6x1024 x 1.99x107x mass of the Sun Me 2

F equals 35 + 82 x 10° N Ani.

F = 6 R2 28 2522 x 10" 6.67 x 10" x 6 x 1024 x Ms  (1.5 X 10") 2 Ms 35.82 x 1028 x 1.5X1-5 x 1822 6.67 X 10" x 6 x 10' 24 Ms 50 80.59 x 10° 40.02 X 10/3 37 Ms = 2.01 x 10 kg is known to exist.

The fact that centripetal acceleration F-ma f 22 equates both equations is known by mass of now. ma Scanner a equals 52.

ат 24 6.67 x 10" x 6X 10° 1-5 x 10" 17:78 x 16-9 = 1.778 x 10 m/s2 Ans

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Patrick and Emily are walking to the grocery store to buy some treats. They walk 3.0
km in 900.0 s. What was their average speed in m/s?

Answers

Answer:

3.33 m/s

Explanation:

(3.0 km)(1000 m/km) = 3000 m

Avg. Speed = distance/time = 3000 m/900 s = 3.33 m/s

If you need to stop quickly and your vehicle is not equipped with an Anti-Lock Braking System (ABS), you should:

Answers

It is important to note that vehicles without ABS may take longer to stop and have a greater risk of skidding or losing control, so it's important to be aware of the stopping distance and to drive with caution.

What is ABS?

Anti-Lock Braking System (ABS) is an advanced safety feature that is commonly found in modern vehicles. It is designed to prevent the wheels of a vehicle from locking up during braking, which can cause the vehicle to skid and lose control.

If you need to stop quickly and your vehicle is not equipped with an Anti-Lock Braking System (ABS), you should:

Press the brake pedal firmly and steady, do not pump the brakes.

Steer the vehicle in the direction you want to go.

Avoid locking up the wheels by applying the brake pressure smoothly and progressively.

If the wheels lock, release the brake pedal slightly to regain traction and then reapply the brake pressure.

Keep a safe distance from the vehicle in front of you to give yourself more time to react and stop.

Hence, by following the above mentioned steps you can quickly stop a car not equipped with ABS.

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